Search a number
-
+
2249834972 = 22711113127509
BaseRepresentation
bin1000011000011001…
…1100000111011100
312210210110110101012
42012012130013130
514101424204342
61011125434352
7106516165430
oct20606340734
95723413335
102249834972
11a54a78350
1252956b9b8
1329b15c8c8
14174b309c0
15d27b2b82
hex8619c1dc

2249834972 has 96 divisors (see below), whose sum is σ = 5000970240. Its totient is φ = 860267520.

The previous prime is 2249834947. The next prime is 2249834989. The reversal of 2249834972 is 2794389422.

It is a self number, because there is not a number n which added to its sum of digits gives 2249834972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4419854 + ... + 4420362.

It is an arithmetic number, because the mean of its divisors is an integer number (52093440).

Almost surely, 22249834972 is an apocalyptic number.

2249834972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249834972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500485120).

2249834972 is an abundant number, since it is smaller than the sum of its proper divisors (2751135268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2249834972 is a wasteful number, since it uses less digits than its factorization.

2249834972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 2249834972 is about 47432.4253227684. The cubic root of 2249834972 is about 1310.3386596018.

The spelling of 2249834972 in words is "two billion, two hundred forty-nine million, eight hundred thirty-four thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 127 154 226 254 308 452 508 509 791 889 1018 1243 1397 1582 1778 2036 2486 2794 3164 3556 3563 4972 5588 5599 7126 8701 9779 11198 14252 14351 17402 19558 22396 28702 34804 39116 39193 57404 57517 64643 78386 100457 115034 129286 156772 157861 200914 230068 258572 315722 401828 402619 452501 631444 632687 711073 805238 905002 1105027 1265374 1422146 1610476 1810004 2210054 2530748 2844292 4420108 4428809 4977511 7304659 8857618 9955022 14609318 17715236 19910044 29218636 51132613 80351249 102265226 160702498 204530452 321404996 562458743 1124917486 2249834972